Answer:
θ = 64.5º
Explanation:
To find the angles of a vector with respect to some axis of a coordinate system, the tangent function is used.
tan θ = [tex]\frac{y}{x}[/tex]
where y is the opposite leg and x is the adjacent leg
in this case the angle is
θ = tan⁻¹ [tex]\frac{A_y}{A_x}[/tex]
let's calculate
θ = tan⁻¹ [tex]\frac{15.9}{ 7.6}[/tex]
θ = tan⁻¹ 2.09
θ = 64.5º
this angle is with respect to the positive pâté of the x axis